Question 345156
Juan drives to work. Because of traffic conditions, he averages 22 miles per hour.
 He returns home averaging 32 miles per hour.
 The total travel time is 2 1/4 hours.
 Write and solve an equation to find the time Juan spends driving to work.
:
change 2 1/4 hrs to 2.25 hrs
:
Let t = time required driving to work
then
(2.25-t) = time required returning from work
:
Both trips are equal distances, write a dist equation: dist = speed * time
:
22t = 32(2.25-t)
22t = 72 - 32t
22t + 32t = 72
54t = 72
t = {{{72/54}}}
t = 1{{{1/3}}} hrs time to work at 22 mph
:
:
you can confirm this, find the distances using
22*1.33 =
32(2.25-1.33) =

they should be about equal